jocelynnunez05 jocelynnunez05

16-10-2018
Mathematics

contestada

The first term of an arithmetic sequence is -3 and the 15th term is 53. What is the common difference of the sequence?

Respuesta :

altavistard altavistard

18-10-2018

Answer:

c = 4

Step-by-step explanation:

Let the common difference be c. Then a(n) = -3 + c(n-1). Since a(15) = 53, a(15) = -3 + (15-1)c = 53. Therefore, -3 + 14c = 53, or 14c = 56; c = 4.

Answer Link

Otras preguntas

How to find square root

Hannah and Corrine are playing a game by rolling two cubes, each numbered 1 through 6. If the sum of the numbers on the cubes is 7, Hannah wins. If the sum is n

Q varies inversely as the square of p, and Q = 36 when p = 7. Find Q when p = 6.

What path does a molecule of o2 take from the nose to the respiratory surface? pharynx → larynx → trachea → bronchus → bronchiole → alveolus larynx → pharynx →

The graph of which function has an axis of symmetry at x=3?

which of the following correctly matches the observation with the description? a. the car is silver in color; quantitative b. the car has foot pedals; qualitat

1) It is often harder to find the tonal center in what kind of music? Choral Instrumental Dissonant Melodic 2) In Medieval music a strophic composition meant th

Help please! last question! m ∠ ABC = 138° and m ∠ DEF = 31°. Which statement is true about ∠ABC and ∠DEF ? The angles are complementary. The angles are suppl

How can I drink a cup of water ?

Two cities are 240 km apart. A train covered this distance in 4 hours and then made the return trip at a speed of 40 km/h. How long was the return trip?